72075224 has 64 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 31893120.

The previous prime is 72075209. The next prime is 72075229. The reversal of 72075224 is 42257027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72075229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317399 + ... + 317625.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^72075224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72075224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

72075224 is an abundant number, since it is smaller than the sum of its proper divisors (79608616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72075224 is a wasteful number, since it uses less digits than its factorization.

72075224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 72075224 is about 8489.7128337771. The cubic root of 72075224 is about 416.1615958735.

The spelling of 72075224 in words is "seventy-two million, seventy-five thousand, two hundred twenty-four".